Abhishikta Das - Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-۷۳۱۲۳۵, Birbhum, West-Bengal, India.
Tarapada Bag - Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-۷۳۱۲۳۵, Birbhum, West-Bengal, India.
Shayani Chatterjee - Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-۷۳۱۲۳۵, Birbhum, West-Bengal, India.

Following the definition of fuzzy normed linear space which was introduced by Bag and Samanta in general t-norm settings, in this paper,  definition of fuzzy strong \phi-b-normed linear space is given. Here the scalar function |c| is replaced by a general function \phi(c) where \phi satisfies some properties. Some basic results on finite dimensional  fuzzy strong \phi-b-normed linear space are studied.

Fuzzy norm, t-norm, Fuzzy normed linear space, Fuzzy strong φ-b-normed linear space